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378829660 = 2251113712569
BaseRepresentation
bin10110100101000…
…111101101011100
3222101211112121011
4112211013231130
51233440022120
6101331345004
712246666436
oct2645075534
9871745534
10378829660
11184926370
12a6a52164
136063b581
1438453656
15233d0c5a
hex16947b5c

378829660 has 48 divisors (see below), whose sum is σ = 874268640. Its totient is φ = 136739840.

The previous prime is 378829651. The next prime is 378829663. The reversal of 378829660 is 66928873.

It is a super-2 number, since 2×3788296602 = 287023822591431200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378829663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23856 + ... + 36424.

It is an arithmetic number, because the mean of its divisors is an integer number (18213930).

Almost surely, 2378829660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378829660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437134320).

378829660 is an abundant number, since it is smaller than the sum of its proper divisors (495438980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

378829660 is a wasteful number, since it uses less digits than its factorization.

378829660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12726 (or 12724 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 378829660 is about 19463.5469532149. The cubic root of 378829660 is about 723.5712870464.

It can be divided in two parts, 378 and 829660, that added together give a palindrome (830038).

The spelling of 378829660 in words is "three hundred seventy-eight million, eight hundred twenty-nine thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 274 548 685 1370 1507 2740 3014 6028 7535 12569 15070 25138 30140 50276 62845 125690 138259 251380 276518 553036 691295 1382590 1721953 2765180 3443906 6887812 8609765 17219530 18941483 34439060 37882966 75765932 94707415 189414830 378829660